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2687468468352 = 273108714334493
BaseRepresentation
bin100111000110111001100…
…110100111100010000000
3100111220211022001111000020
4213012321212213202000
5323012413411441402
65414334520053440
7365106655032633
oct47067146474200
910456738044006
102687468468352
11946826985258
12374a23904280
131665726c4515
1494107733c1a
1549d91d1d8bc
hex271b99a7880

2687468468352 has 128 divisors (see below), whose sum is σ = 7151732904960. Its totient is φ = 894175076352.

The previous prime is 2687468468303. The next prime is 2687468468383. The reversal of 2687468468352 is 2538648647862.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598143418 + ... + 598147910.

It is an arithmetic number, because the mean of its divisors is an integer number (55872913320).

Almost surely, 22687468468352 is an apocalyptic number.

It is an amenable number.

2687468468352 is an abundant number, since it is smaller than the sum of its proper divisors (4464264436608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2687468468352 is a wasteful number, since it uses less digits than its factorization.

2687468468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7018 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 69.

The spelling of 2687468468352 in words is "two trillion, six hundred eighty-seven billion, four hundred sixty-eight million, four hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1087 1433 2174 2866 3261 4299 4348 4493 5732 6522 8598 8696 8986 11464 13044 13479 17196 17392 17972 22928 26088 26958 34392 34784 35944 45856 52176 53916 68784 69568 71888 91712 104352 107832 137568 139136 143776 183424 208704 215664 275136 287552 417408 431328 550272 575104 862656 1557671 1725312 3115342 4673013 4883891 6230684 6438469 9346026 9767782 12461368 12876938 14651673 18692052 19315407 19535564 24922736 25753876 29303346 37384104 38630814 39071128 49845472 51507752 58606692 74768208 77261628 78142256 99690944 103015504 117213384 149536416 154523256 156284512 199381888 206031008 234426768 299072832 309046512 312569024 412062016 468853536 598145664 618093024 625138048 824124032 937707072 1236186048 1875414144 2472372096 6998615803 13997231606 20995847409 27994463212 41991694818 55988926424 83983389636 111977852848 167966779272 223955705696 335933558544 447911411392 671867117088 895822822784 1343734234176 2687468468352